When the two numbers are relatively prime (their GCF is 1)
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.
If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.
Any two of the same numbers. The GCF and LCM of 10 and 10 is 10.
LCM of two prime numbers is equal to their product.29 and 7 are prime numbers so, LCM(29,7) = 29 x 7 = 203.
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
When there are no common factors other than 1.
Yes.
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.
If the two numbers have no common prime factors, the LCM will be the product of the numbers.
The Least Common Multiple of two numbers is equal to their product divided by their greatest common factor.The greatest common factor of 72 and 42 is 6, so their Least Common Multiple is 72 * 42 / 6 = 504.
The product of the GCF and LCM of two numbers will equal the product of the two numbers.
The product of the GCF and LCM is equal to the product of the original two numbers.
If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).
If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
The product of any two integers is equal to the product of their GCF and LCM. That means you can find any of those four numbers by knowing the other three.
There are eleven such numbers.Get the common multiple of those numbers. All other common multiples will be multiples of this common multiple; that is, you can multiply the common multiple by 1, by 2, by 3, etc. to get additional numbers that are multiples of both numbers.